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Finding the Fourth Proportional to 6,663.96, 9,196.28 and 3,679.80

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Solution

The fourth proportional to 6,663.96, 9,196.28 and 3,679.80 is: 5,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.96 : 9,196.28 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    6,663.96/9,196.28 = 3,679.80/x
  3. Step 3: Cross multiply
    6,663.96x = 9,196.28 × 3,679.80
  4. Step 4: Simplify right side
    6,663.96x = 33,840,452.75
  5. Step 5: Solve for x
    x = 33,840,452.75/6,663.96
  6. Step 6: Final answer
    x = 5,078.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.